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Finding the Fourth Proportional to 3,732.39, 5,598.32 and 2,099.16

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Solution

The fourth proportional to 3,732.39, 5,598.32 and 2,099.16 is: 3,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.39 : 5,598.32 = 2,099.16 : x
  2. Step 2: Convert to fraction form
    3,732.39/5,598.32 = 2,099.16/x
  3. Step 3: Cross multiply
    3,732.39x = 5,598.32 × 2,099.16
  4. Step 4: Simplify right side
    3,732.39x = 11,751,758.92
  5. Step 5: Solve for x
    x = 11,751,758.92/3,732.39
  6. Step 6: Final answer
    x = 3,148.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.